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inequality 6

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by Gurpinder » Wed Sep 01, 2010 3:32 pm
how do we go from:

1 > 1 - ab > 0

to

1>ab

thanks all
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
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by Rahul@gurome » Wed Sep 01, 2010 6:01 pm
Gurpinder wrote:how do we go from:

1 > 1 - ab > 0

to

1>ab

thanks all
Subtracting 1, we get 0 > -ab > -1
Divide by -1, it will change the sign of inequality: 0 < ab < 1
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by Gurpinder » Thu Sep 02, 2010 6:12 am
Rahul@gurome wrote:
Gurpinder wrote:how do we go from:

1 > 1 - ab > 0

to

1>ab

thanks all
Subtracting 1, we get 0 > -ab > -1
Divide by -1, it will change the sign of inequality: 0 < ab < 1
Hey Rahul,

So once we have come at 0 < ab < 1, can we drop the "0<" part and take away the rest of the equation or do we have to keep it?

Thanks
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by Rahul@gurome » Thu Sep 02, 2010 6:54 am
Gurpinder wrote: Hey Rahul,

So once we have come at 0 < ab < 1, can we drop the "0<" part and take away the rest of the equation or do we have to keep it?

Thanks
If we drop the "0<" part then the meaning of the inequality changes as it becomes ab < 1 and product of ab can be any value less than 1.
But 0 < ab < 1 implies value of ab will be positive as it lies between 0 and 1.
Does that help?
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by Gurpinder » Thu Sep 02, 2010 7:50 am
Rahul@gurome wrote:
Gurpinder wrote: Hey Rahul,

So once we have come at 0 < ab < 1, can we drop the "0<" part and take away the rest of the equation or do we have to keep it?

Thanks
If we drop the "0<" part then the meaning of the inequality changes as it becomes ab < 1 and product of ab can be any value less than 1.
But 0 < ab < 1 implies value of ab will be positive as it lies between 0 and 1.
Does that help?
Alright!

So then,
1 > 1 - ab > 0 ------> 1>ab is wrong then?

it should be 1>ab>0 right??

This was my initial confusion actually.

Thanks,
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